Parameter identification for gompertz and logistic dynamic equations.

Autor: Elvan Akın, Neslihan Nesliye Pelen, Ismail Uğur Tiryaki, Fusun Yalcin
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Zdroj: PLoS ONE, Vol 15, Iss 4, p e0230582 (2020)
Druh dokumentu: article
ISSN: 1932-6203
DOI: 10.1371/journal.pone.0230582
Popis: In this paper, we generalize and compare Gompertz and Logistic dynamic equations in order to describe the growth patterns of bacteria and tumor. First of all, we introduce two types of Gompertz equations, where the first type 4-paramater and 3-parameter Gompertz curves do not include the logarithm of the number of individuals, and then we derive 4-parameter and 3-parameter Logistic equations. We notice that Logistic curves are better in modeling bacteria whereas the growth pattern of tumor is described better by Gompertz curves. Increasing the number of parameters of Logistic curves give favorable results for bacteria while decreasing the number of parameters of Gompertz curves for tumor improves the curve fitting. Moreover, our results overshadow some of the existing results in the literature.
Databáze: Directory of Open Access Journals
Nepřihlášeným uživatelům se plný text nezobrazuje